First of all you need some kind of protective eyewear such as safety goggles or glasses. You can get these online or at most appliance stores such as The Home Depot and Lowes. Goggles are necessary for making sure your eyes do not get exposed to either the chemicals you are using to kill the mold, or the mold itself. You definitely want your eyes to be protected at all costs so this piece of protective gear is very important.
Next, you need something to protect your face to prevent yourself from breathing in toxic chemicals or the mold spores as you begin to clean the mold contaminated areas. This is a very important step and should not be neglected in your search for protective gear. Your lungs can easily be exposed to black mold spores and if they get into your lungs, it can very bad for your health. So pick up a mask at a drugstore - there are basic nurse's masks which are perfect for this process.
Finally, you should have gloves and something to protect your hands from touching the chemicals or the tools which you use to get rid of mold from your house. You definitely want protection for your hands and your skin - and you should also wear old clothes that can be either throw away or fumigated when it comes time to clean all your protective black mold removal gear. Be sure you get some rubber gloves, preferably disposable, which you can throw in an industry strength trash bag to prevent black mold from spreading in your house again.
This process of getting the right kind of gear to remove mold is very important so you can ensure that you won't be exposed to any of the toxic substances which are part of the cleaning process. Ultimately you want to make sure you are protected from all forms of the mold and from the chemicals as well, in order to make sure you are safe at all times.
Once you have acquired all the necessary protective gear, it is okay to start the process of mold removal and you won't have to be worried that you'll expose yourself to harmful substances. But do make sure that you collect all your gear before you begin the cleaning process, so that you don't end up in the hospital because you weren't properly prepared.